American Journal of Applied Mathematics

Volume 8, Issue 3, June 2020

  • Maximal Concurent Limited Cost Flow Problems on Extended Multi-commodity Multi-cost Network

    Ho Van Hung, Tran Quoc Chien

    Issue: Volume 8, Issue 3, June 2020
    Pages: 74-82
    Received: Apr. 01, 2020
    Accepted: Apr. 20, 2020
    Published: Apr. 29, 2020
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    Abstract: Graphs are excellent mathematical tools applied in many fields such as transportation, communication, informatics, economy,…. A network and a flow network is a useful device to solve many problems in many fields in reality. However, most of the network applications in traditional graphs have only considered the weights of edges and vertexes indepen... Show More
  • The D-, A-, E- and T-optimal Values of a Second Order Rotatable Design in Four Dimension Constructed Using Balanced Incomplete Block Designs

    Kabue Timothy Gichuki, Koske Joseph, Mutiso John

    Issue: Volume 8, Issue 3, June 2020
    Pages: 83-88
    Received: Mar. 05, 2020
    Accepted: Apr. 10, 2020
    Published: May 14, 2020
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    Abstract: In response surface methodology, optimal designs are experimental designs generated based on a particular optimality criterion and are optimal only for a specific statistical model. Optimality criterion are single number criteria sometimes called alphabetical optimality criteria where each one intends to capture an aspect of the ‘goodness’ of a des... Show More
  • Numerical Investigation of Temperature Distribution in a Homogeneous Aquifer Thermal Energy Storage System During Thermal Injection Process

    Mohammed Hirpho Tobe, Zerihun Kinfe Birhanu

    Issue: Volume 8, Issue 3, June 2020
    Pages: 89-97
    Received: Mar. 26, 2020
    Accepted: May 12, 2020
    Published: May 27, 2020
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    Abstract: Investigating the heat transfer in aquifer thermal energy storage system is of interest since a deeper understanding of this phenomenon can be used to improve the behavior of a building, including relevant thermal parameters such as heating, cooling, and control systems. In this paper, we have presented a pair of coupled partial differential equati... Show More
  • Differential Incremental Equilibrium Geometry-Effects of Cerebral Groove and Protein Granule Motion on Thinking Space and Mental Activity

    Zhu Rongrong

    Issue: Volume 8, Issue 3, June 2020
    Pages: 98-122
    Received: Apr. 16, 2020
    Accepted: May 03, 2020
    Published: May 27, 2020
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    Abstract: The research direction of this paper is to construct brain-like spatial structure and brain, nervous system and neurotransmitters from molecular cytobiology to construct mental acquisition from the influence of neuron and genome expression on brain, especially the material suspension caused by mental collapse to the neuron-like topological spatial ... Show More
  • Spread and Control of Multi-drug Resistance Tuberculosis and Drug-sensitive Tuberculosis in Ethiopia: A Mathematical Model Analysis

    Shimelis Bekele Zerefe, Temesgen Tibebu Mekonnen

    Issue: Volume 8, Issue 3, June 2020
    Pages: 123-144
    Received: Apr. 22, 2020
    Accepted: May 15, 2020
    Published: May 29, 2020
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    Abstract: In this work we considered nonlinear dynamical system to study the dynamics of two-strain Tuberculosis epidemic in Ethiopia. We proved that the solution of the considered dynamical system is positive and bounded. We found that the considered dynamical system has disease free and endemic equilibrium points. We proved that the local and global stabil... Show More
  • A Mathematical Model Analysis on the Dynamics of HIV/AIDS with Age Structure and Inflow Immigrants in Ethiopia

    Tibebu Tulu Guya, Temesgen Tibebu Mekonnen

    Issue: Volume 8, Issue 3, June 2020
    Pages: 145-157
    Received: Apr. 22, 2020
    Accepted: May 15, 2020
    Published: May 29, 2020
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    Abstract: In this work we considered a nonlinear deterministic dynamical system to study the dynamics of HIV/AIDS with age structure and different mode of transmissions in Ethiopia. We found that the diseases free equilibrium point and endemic equilibrium points exist and we perform their local stability and global stability analysis using nonlinear stabilit... Show More
  • Modeling the Dynamics of Endemic Malaria Transmission with the Effects of Control Measure

    Dereje Gutema Edossa, Alemu Geleta Wedajo, Purnachandra Rao Koya

    Issue: Volume 8, Issue 3, June 2020
    Pages: 158-170
    Received: Dec. 27, 2019
    Accepted: Jun. 03, 2020
    Published: Jun. 17, 2020
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    Abstract: Malaria is an infectious disease caused by Plasmodium parasite and is transmitted among humans through bites of female Anopheles mosquitoes. It is estimated 216 million people suffered from malaria in 2016, with over 400,000 deaths mainly in sub-Saharan Africa. A number of control measures have been put in place: most importantly the insecticide tr... Show More